Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 25.877316768 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.950966646\) \(a_{4}=+0.500000000\) \(a_{5}=+1.136061281\)
\(a_{6}=-0.672434964\) \(a_{7}=-0.550365064\) \(a_{8}=-0.353553391\) \(a_{9}=-0.095662438\) \(a_{10}=-0.803316636\)
\(a_{11}=-1.274534252\) \(a_{12}=+0.475483323\) \(a_{13}=-1.274046181\) \(a_{14}=+0.389166869\) \(a_{15}=+1.080356386\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.183363691\) \(a_{18}=+0.067643558\) \(a_{19}=-1.305272534\) \(a_{20}=+0.568030641\)
\(a_{21}=-0.523378819\) \(a_{22}=+0.901231813\) \(a_{23}=+1.058675454\) \(a_{24}=-0.336217482\) \(a_{25}=+0.290635234\)
\(a_{26}=+0.900886694\) \(a_{27}=-1.041938434\) \(a_{28}=-0.275182532\) \(a_{29}=-1.444007922\) \(a_{30}=-0.763927327\)
\(a_{31}=-0.341897508\) \(a_{32}=-0.176776695\) \(a_{33}=-1.212039563\) \(a_{34}=-0.836764491\) \(a_{35}=-0.625248440\)
\(a_{36}=-0.047831219\) \(a_{37}=-0.142527809\) \(a_{38}=+0.922967060\) \(a_{39}=-1.211575424\) \(a_{40}=-0.401658318\)
\(a_{41}=-0.653967538\) \(a_{42}=+0.370084712\) \(a_{43}=+1.268880159\) \(a_{44}=-0.637267126\) \(a_{45}=-0.108678392\)
\(a_{46}=-0.748596593\) \(a_{47}=+0.561926927\) \(a_{48}=+0.237741662\) \(a_{49}=-0.697098296\) \(a_{50}=-0.205510145\)
\(a_{51}=+1.125339401\) \(a_{52}=-0.637023091\) \(a_{53}=+0.431073217\) \(a_{54}=+0.736761732\) \(a_{55}=-1.447949015\)
\(a_{56}=+0.194583434\) \(a_{57}=-1.241270644\) \(a_{58}=+1.021067794\) \(a_{59}=+1.091219383\) \(a_{60}=+0.540178193\)
\(a_{61}=-1.359110749\) \(a_{62}=+0.241758047\) \(a_{63}=+0.052649264\) \(a_{64}=+0.125000000\) \(a_{65}=-1.447394537\)
\(a_{66}=+0.857041394\) \(a_{67}=-0.331818830\) \(a_{68}=+0.591681846\) \(a_{69}=+1.006765046\) \(a_{70}=+0.442117412\)
\(a_{71}=-1.482636852\) \(a_{72}=+0.033821779\) \(a_{73}=-0.490659777\) \(a_{74}=+0.100782381\) \(a_{75}=+0.276384414\)
\(a_{76}=-0.652636267\) \(a_{77}=+0.701459125\) \(a_{78}=+0.856713198\) \(a_{79}=-0.370769474\) \(a_{80}=+0.284015320\)
\(a_{81}=-0.895186260\) \(a_{82}=+0.462424881\) \(a_{83}=-0.409212826\) \(a_{84}=-0.261689410\) \(a_{85}=+1.344373671\)
\(a_{86}=-0.897233765\) \(a_{87}=-1.373203371\) \(a_{88}=+0.450615906\) \(a_{89}=+0.935788063\) \(a_{90}=+0.076847228\)
\(a_{91}=+0.701190508\) \(a_{92}=+0.529337727\) \(a_{93}=-0.325133127\) \(a_{94}=-0.397342341\) \(a_{95}=-1.482869587\)
\(a_{96}=-0.168108741\) \(a_{97}=+0.041740969\) \(a_{98}=+0.492922932\) \(a_{99}=+0.121925054\) \(a_{100}=+0.145317617\)

Showing 100 of 1228 available coefficients

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